A square thin conducting sheet that has 6.60-m-long edges has a net charge of 61.0 µC. The square is in the x = 0 plane and is centered at the origin. (Assume that the charge on each surface is uniformly distributed.)
(a) Find the charge density on each side of the sheet and find the (magnitude of the) electric field on the x axis in the region |x| « 6.60 m.
(b) A thin but infinite nonconducting sheet that has a uniform charge density of 2.50 µC/m2 is now placed in the x = -3.3 m plane. Find the electric field on the x axis on each side of the square sheet in the region |x| « 3.30 m. Find the charge density on each surface of the square sheet.
For x > 0, |x| « 3.30 m:
For x < 0, |x| « 3.30 m: